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        riddles >> medium >> initial value problem
        
(Message started by: hparty on Sep 24^th, 2010, 12:07pm)

Title: initial value problem
Post by hparty on Sep 24^th, 2010, 12:07pm

I have the following initial value problem

y''+ky-y^2=0
y(x0)=a,
y'(x0)=b.

(for any constant k)

If it has a solution which depends on all the
parameters say Y , How can we find the
initial value problem satisfied by the partial derivatives of Y (assume that all are exist) with respect to each of the
parameters k,x,x0,a,b ?

solution:
I know that I can transfer the above DE to a system of first order DE, but does that help??

Thanks

Title: Re: initial value problem
Post by Aryabhatta on Sep 24^th, 2010, 12:52pm

Are these homework problems?

Title: Re: initial value problem
Post by hparty on Sep 24^th, 2010, 1:07pm

old exams ...

does this change anything !!